около правильного треугольника описана окружность R=10 корней из 3 найти r вписано окружности

около правильного треугольника описана окружность R=10 корней из 3 найти r вписано окружности
- Предмет:
  Геометрия
- Автор:
  aylinegji
- 6 лет назад

Ответы 1

Достаточно просто знать несколько соотношений в правильном треугольнике: $r= \frac{ \sqrt{3}}{6}a\\\\R= \frac{\sqrt{3}}{3}a$ , где $a$ - сторона треугольника $r$ - радиус вписанной окружности $R$ - радиус описанной окружностиИз данных соотношений следует: $R=2r$ Значит $r= \frac{R}{2}= \frac{10 \sqrt{3}}{2}=5 \sqrt{3}$
- Автор:
  hobbes
- 6 лет назад
- 0
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около правильного треугольника описана окружность R=10 корней из 3 найти r вписано окружности

Ответы 1

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